Concentration phenomenon in a nonlocal equation modeling phytoplankton growth

Linfeng Mei; Wei Dong; Changhe Guo

doi:10.3934/dcdsb.2015.20.587

Article Contents

2015, Volume 20, Issue 2: 587-597. Doi: 10.3934/dcdsb.2015.20.587

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Concentration phenomenon in a nonlocal equation modeling phytoplankton growth

1.
Department of Mathematics, Henan Normal University, Xinxiang, Henan 453007
2.
Department of Mathematics, Hebei University of Engineering, Handan, Hebei 056021

Received: June 2013

Revised: November 2014

Published: March 2015

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Abstract

We study a nonlocal reaction-diffusion-advection equation arising from the study of a single phytoplankton species competing for light in a poorly mixed water column. When the diffusion coefficient is very small, the phytoplankton population concentrates around certain zeros of the advection function. The corresponding phytoplankton distribution approaches a $\delta$-like function centered at those zeros.

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Mathematics Subject Classification: Primary: 35J25, 35J60; Secondary: 92D25.

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References

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